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The linear profile decomposition for the fourth order Schrödinger equation - MaRDI portal

The linear profile decomposition for the fourth order Schrödinger equation (Q712179)

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Language	Label	Description	Also known as
English	The linear profile decomposition for the fourth order Schrödinger equation	scientific article

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scholarly article

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The linear profile decomposition for the fourth order Schrödinger equation (English)

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Jin-Cheng Jiang

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Benoit Pausader

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Journal of Differential Equations

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publication date

28 October 2010

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full work available at URL

https://arxiv.org/abs/0911.0719

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zbMATH Keywords

NLS

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profile decomposition

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extremal

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MaRDI profile type

MaRDI publication profile

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High Frequency Approximation of Solutions to Critical Nonlinear Wave Equations

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Mass concentration phenomena for the $L^2$-critical nonlinear Schrödinger equation

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Dispersion estimates for fourth order Schrödinger equations

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Heat-flow monotonicity of Strichartz norms

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Global wellposedness of defocusing critical nonlinear Schrödinger equation in the radial case

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On the role of quadratic oscillations in nonlinear Schrödinger equations II. The $L^2$-critical case

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A Sharp Inequality for the Strichartz Norm

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Asymptotics, frequency modulation, and low regularity ill-posedness for canonical defocusing equations

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Global well-posedness and scattering for the energy-critical Schrödinger equation in \(\mathbb R^{3}\)

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Maximizers for the Strichartz inequality

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On sharp Strichartz inequalities in low dimensions

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Stability of solitons described by nonlinear Schrödinger-type equations with higher-order dispersion

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Global well-posedness, scattering and blow-up for the energy-critical, focusing, nonlinear Schrö\-dinger equation in the radial case

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A note on a symmetry result for traveling waves in cylinders

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Global well-posedness, scattering and blow-up for the energy-critical focusing non-linear wave equation

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On the defect of compactness for the Strichartz estimates of the Schrödinger equations

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On the mass-critical generalized KdV equation

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The focusing energy-critical nonlinear Schrödinger equation in dimensions five and higher

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The mass-critical nonlinear Schrödinger equation with radial data in dimensions three and higher

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On the existence of a maximizer for the Strichartz inequality

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The cubic fourth-order Schrödinger equation

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The focusing energy-critical fourth-order Schrödinger equation with radial data

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THE MASS-CRITICAL FOURTH-ORDER SCHRÖDINGER EQUATION IN HIGH DIMENSIONS

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The linear profile decomposition for the Airy equation and the existence of maximizers for the Airy Strichartz inequality

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Maximizers for the Strichartz inequalities and the Sobolev-Strichartz inequalities for the Schr\"odinger equation

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Two remarks on the generalised Korteweg de-Vries equation

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Global well-posedness and scattering for the defocusing mass-critical nonlinear Schrödinger equation for radial data in high dimensions

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Identifiers

zbMATH Open document ID

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10.1016/j.jde.2010.06.014

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:712179

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